document.write( "Question 993318: A student buys some pens for 400$. If the cost of each pens is 9$ less, he can buy 9 pens more from the same money. Find the number of pens \n" ); document.write( "
Algebra.Com's Answer #612586 by josmiceli(19441)\"\" \"About 
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Let \"+n+\" = the number of pens
\n" ); document.write( "\"+400%2Fn+-+9+=+400%2F%28+n%2B9+%29+\"
\n" ); document.write( "Multiply both sides by \"+n%2A%28+n%2B9+%29+\"
\n" ); document.write( "\"+400%2A%28+n%2B9+%29+-+9%2An%2A%28+n%2B9+%29+=+400n+\"
\n" ); document.write( "\"+400n+%2B+3600+-+9n%5E2+-+81n+=+400n+\"
\n" ); document.write( "\"+9n%5E2+%2B+81n+-+3600+=+0+\"
\n" ); document.write( "\"+n%5E2+%2B+9n+-+400+=+0+\"
\n" ); document.write( "Use quadratic formula
\n" ); document.write( "\"+n+=+%28+-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+9+\"
\n" ); document.write( "\"+c+=+-400+\"
\n" ); document.write( "\"+n+=+%28+-9+%2B-+sqrt%28+9%5E2-4%2A1%2A%28-400%29+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+n+=+%28+-9+%2B-+sqrt%28+81+%2B+1600+%29%29+%2F+2+\"
\n" ); document.write( "\"+n+=+%28+-9+%2B-+sqrt%28+1681+%29%29+%2F+2+\"
\n" ); document.write( "\"+n+=+%28+-9+%2B+41+%29+%2F+2+\"
\n" ); document.write( "\"+n+=+32%2F2+\"
\n" ); document.write( "\"+n+=+16+\"
\n" ); document.write( "The student bought 16 pens
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+400%2Fn+-+9+=+400%2F%28+n%2B9+%29+\"
\n" ); document.write( "\"+400%2F16+-+9+=+400%2F%28+16%2B9+%29+\"
\n" ); document.write( "\"+25+-+9+=+400%2F25+\"
\n" ); document.write( "\"+16+=+16+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );